Least Common Multiple of 4366 and 4372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4366 and 4372 the smallest integer that is 9544076 that is divisible by both numbers.

Least Common Multiple (LCM) of 4366 and 4372 is 9544076.

LCM(4366,4372) = 9544076

LCM of 4366 and 4372

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4366 and 4372

LCM of 4366 and 4372 is 9544076

Least common multiple can be found by multiplying the highest exponent prime factors of 4366 and 4372. First we will calculate the prime factors of 4366 and 4372.

Prime Factorization of 4366


2 4366
37 2183
59 59
1

Prime factors of 4366 are 2, 37,59. Prime factorization of 4366 in exponential form is:

4366 = 21×371×591

Prime Factorization of 4372


2 4372
2 2186
1093 1093
1

Prime factors of 4372 are 2,1093. Prime factorization of 4372 in exponential form is:

4372 = 22×10931

Now multiplying the highest exponent prime factors to calculate the LCM of 4366 and 4372.

LCM(4366,4372) = 22×371×591×10931
LCM(4366,4372) = 9544076

Factors of 4366

List of positive integer factors of 4366 that divides 4366 without a remainder.

1, 2, 37, 59, 74, 118, 2183, 4366

Factors of 4372

List of positive integer factors of 4372 that divides 4372 without a remainder.

1, 2, 4, 1093, 2186, 4372

Least Common Multiple of 4366 and 4372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4366 and 4372, than apply into the LCM equation.

GCF(4366,4372) = 2
LCM(4366,4372) = ( 4366 × 4372) / 2
LCM(4366,4372) = 19088152 / 2
LCM(4366,4372) = 9544076

Properties of LCM 4366 and 4372

(i) The LCM of 4372 and 4366 is associative

LCM of 4366 and 4372 = LCM of 4372 and 4366

Related Least Common Multiples of 4366

Related Least Common Multiples of 4372

Frequently Asked Questions on LCM of 4366 and 4372

1. What is the LCM of 4366 and 4372?

Answer: LCM of 4366 and 4372 is 9544076.

2. What are the Factors of 4366?

Answer: Factors of 4366 are 1, 2, 37, 59, 74, 118, 2183, 4366. There are 8 integers that are factors of 4366. The greatest factor of 4366 is 4366.

3. What are the Factors of 4372?

Answer: Factors of 4372 are 1, 2, 4, 1093, 2186, 4372. There are 6 integers that are factors of 4372. The greatest factor of 4372 is 4372.

4. How to Find the LCM of 4366 and 4372?

Answer:

Least Common Multiple of 4366 and 4372 = 9544076

Step 1: Find the prime factorization of 4366

4366 = 2 x 37 x 59

Step 2: Find the prime factorization of 4372

4372 = 2 x 2 x 1093

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9544076 = 2 x 2 x 37 x 59 x 1093

Step 4: Therefore, the least common multiple of 4366 and 4372 is 9544076.